In problems 3 and 5 we looked at and plotted two important trends: the function values jf(xn)j and the absolute error jxn xj of the iterates. it is probably clear why the absolute error, jxn , decays to zero as the iterates converge to the true answer. must the function values jf(xn)j also decay to zero? why or why not? answer yes or no, and write a sentence or two justifying your answer.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

c

step-by-step explanation:

a

step-by-step explanation: